They investigate the scene of Killer Croc's crimes in Reptile Rampage:
They even show up in Batman Versus Bane, a kid-friendly tie-in to The Dark Knight Rises:
Now, here's where things get tricky: Not content with DC's Gotham City and Metropolis, they also show up in Marvel's New York, usually helping out Spider-Man. Here they are in Spider-Man versus Hydro Man, trying to figure out how to clean up after a cement-filled super-villain battle:
And here they are apprehending Eddie Brock in the pages of Spider-Man Versus Venom:
Cuffing the Vulture in the imaginatively titled Spider-Man Versus the Vulture:
And, in what is probably my favorite shot of the pair, being completely mystified by what they're supposed to do when a spider-themed luchador beats up a dude made of sand by turning him into glass in The Sandman Strikes:
With so many collars under their belt, it's no wonder they get all smug during Battle Against Doc Ock:
But while policework seems to be their primary occupation, it's not the only thing these two do in these books. In Going Ape, they show up as a pair of Gotham City zookeepers that are threatened by Gorilla Grodd before Batman and Superman show up to intervene:
In The Toxic Terror, they're park rangers who run afoul of Poison Ivy: